11312493696 has 512 divisors, whose sum is σ = 40468377600. Its totient is φ = 3079296000.

The previous prime is 11312493667. The next prime is 11312493761. The reversal of 11312493696 is 69639421311.

11312493696 is a `hidden beast` number, since 11 + 31 + 249 + 369 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45069571 + ... + 45069821.

It is an arithmetic number, because the mean of its divisors is an integer number (79039800).

Almost surely, 2^11312493696 is an apocalyptic number.

11312493696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234188800).

11312493696 is an abundant number, since it is smaller than the sum of its proper divisors (29155883904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11312493696 is an frugal number, since it uses more digits than its factorization.

11312493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 11312493696 in words is "eleven billion, three hundred twelve million, four hundred ninety-three thousand, six hundred ninety-six".